A Boundary Value Problem for a Pair of Differential Delay Equations Related to Sieve Theory, I

Diamond, H.; Halberstam, H.; Richert, H.-E.

doi:10.1007/978-1-4612-3464-7_11

H. Diamond⁴,
H. Halberstam⁴ &
H.-E. Richert⁵

Part of the book series: Progress in Mathematics ((PM,volume 85))

606 Accesses
4 Citations

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 84.99; Price excludes VAT (USA)

Softcover Book: USD 109.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

NCAnkeny and H. Onishi, The general sieve, Acta Arith. 10 (1964), 31–62.
MathSciNet MATH Google Scholar
M Abramowitz and IStegun, Handbook of Mathematical Functions. Dover, N.Y., 1965.
Google Scholar
H. G. Diamond, H. Halberstam, and H.-ERichert, Combinatorial sieves of dimension exceeding one, J. Number Theory 28 (1988), 306–346.
Article MathSciNet MATH Google Scholar
H. G. Diamond, H. Halberstam, and H.-E. Richert, Sieve auxiliary functions, Banff Conference, Proc. Canadian Number Theory Assn. (1988). To appear.
Google Scholar
F. Grupp, On zeros of functions satisfying certain difference-differential equations, Acta. Arith 51 (1988), 247–268.
MathSciNet MATH Google Scholar
F.Grupp and H.-E.Richert,Notes on functions conected with the sieve, Analysis 8 (1988), 1–23.
MathSciNet MATH Google Scholar
H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London, 1974.
MATH Google Scholar
H. Iwaniec, Rosser’s sieve, Acta Arith. 36 (1980), 171–202.
MathSciNet MATH Google Scholar
W. B. Jurkat and H.-E.Richert, An improvement of Selberg’s sieve method I, Acta Arith. 11 (1965), 217–240.
MathSciNet MATH Google Scholar
D. A. Rawsthorne, Improvements in the small sieve estimate of Selberg by iteration, Thesis, University of Illinois, Urbana, 1980.
Google Scholar
H. J. J. te Riele, Numerical solution of two coupled nonlinear equations related to the limits of Buchstab’s iteration sieve, Afd. Numer. Wisk. 86 (1980), Stichting Math. Centrum, Amsterdam. 15pp.
Google Scholar
F. S. Wheeler, On two differential difference equations arising in analytic number theory, Thesis, University of Illinois, Urbana, 1988.
Google Scholar

Download references

Author information

Authors and Affiliations

Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois, 61801, USA
H. Diamond & H. Halberstam
Mathematik III, Universität Ulm, Albert-Einstein-Allee 11, 7900, Ulm, West Germany
H.-E. Richert

Authors

H. Diamond
View author publications
You can also search for this author in PubMed Google Scholar
H. Halberstam
View author publications
You can also search for this author in PubMed Google Scholar
H.-E. Richert
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 west Green Street, 61801, Urbana, Illinois, USA
Bruce C. Berndt , Harold G. Diamond , Heini Halberstam & Adolf Hildebrand , , &

Additional information

Dedicated to Paul T. Bateman on the occasion of his retirement

Rights and permissions

Reprints and permissions

Copyright information

About this chapter

Cite this chapter

Diamond, H., Halberstam, H., Richert, HE. (1990). A Boundary Value Problem for a Pair of Differential Delay Equations Related to Sieve Theory, I. In: Berndt, B.C., Diamond, H.G., Halberstam, H., Hildebrand, A. (eds) Analytic Number Theory. Progress in Mathematics, vol 85. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3464-7_11

Download citation

DOI: https://doi.org/10.1007/978-1-4612-3464-7_11
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3481-0
Online ISBN: 978-1-4612-3464-7
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics